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Finding the Fourth Proportional to 106,781.86, 160,161.84 and 27,885.82

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Solution

The fourth proportional to 106,781.86, 160,161.84 and 27,885.82 is: 41,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,781.86 : 160,161.84 = 27,885.82 : x
  2. Step 2: Convert to fraction form
    106,781.86/160,161.84 = 27,885.82/x
  3. Step 3: Cross multiply
    106,781.86x = 160,161.84 × 27,885.82
  4. Step 4: Simplify right side
    106,781.86x = 4,466,244,241.11
  5. Step 5: Solve for x
    x = 4,466,244,241.11/106,781.86
  6. Step 6: Final answer
    x = 41,825.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.